B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces

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dc.authoridHasanov, Javanshir/0000-0002-3518-348X
dc.contributor.authorHasanov, Javanshir J.
dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorBayrakci, Simten
dc.date.accessioned2024-10-04T18:48:26Z
dc.date.available2024-10-04T18:48:26Z
dc.date.issued2020
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this article, we consider the Laplace-Bessel differential operator Delta(Bk,n) = Sigma(k)(i=1) (partial derivative(2)/partial derivative x(i)(2) + gamma(i)/x(i) partial derivative/partial derivative x(i)) + Sigma(n)(i=k+1) partial derivative(2)/partial derivative x(i)(2), gamma(1) > 0,..., gamma(k) > 0. Furthermore, we define B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials associated with the Laplace-Bessel differential operator. Moreover, we also obtain the boundedness of the B-maximal commutator M-b,M-gamma and the commutator [b, A(gamma)] of the B-singular integral operator and Hardy-Littlewood-Sobolev-type theorem for the commutator [b, I-alpha,I-gamma] of the B-Riesz potential on B-Morrey spaces L-p,L-lambda,L-gamma, when b is an element of BMO gamma.en_US
dc.identifier.doi10.1515/math-2020-0033
dc.identifier.endpage730en_US
dc.identifier.issn2391-5455
dc.identifier.scopus2-s2.0-85089201366en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage715en_US
dc.identifier.urihttps://doi.org/10.1515/math-2020-0033
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3054
dc.identifier.volume18en_US
dc.identifier.wosWOS:000551417700001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherDe Gruyter Poland Sp Z O Oen_US
dc.relation.ispartofOpen Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectcommutatoren_US
dc.subjectgeneralized shift operatoren_US
dc.subjectB-Riesz potentialen_US
dc.subjectB-maximal functionen_US
dc.subjectB-Morrey spaceen_US
dc.subjectbounded mean oscillation (BMO) spaceen_US
dc.titleB-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spacesen_US
dc.typeArticleen_US

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